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Finding the Fourth Proportional to 380,356.63, 570,321.50 and 260,548.99

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Solution

The fourth proportional to 380,356.63, 570,321.50 and 260,548.99 is: 390,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356.63 : 570,321.50 = 260,548.99 : x
  2. Step 2: Convert to fraction form
    380,356.63/570,321.50 = 260,548.99/x
  3. Step 3: Cross multiply
    380,356.63x = 570,321.50 × 260,548.99
  4. Step 4: Simplify right side
    380,356.63x = 148,596,687,948.68
  5. Step 5: Solve for x
    x = 148,596,687,948.68/380,356.63
  6. Step 6: Final answer
    x = 390,677.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.